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Finding the Fourth Proportional to 6,820.88, 10,228.04 and 2,378.46

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Solution

The fourth proportional to 6,820.88, 10,228.04 and 2,378.46 is: 3,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.88 : 10,228.04 = 2,378.46 : x
  2. Step 2: Convert to fraction form
    6,820.88/10,228.04 = 2,378.46/x
  3. Step 3: Cross multiply
    6,820.88x = 10,228.04 × 2,378.46
  4. Step 4: Simplify right side
    6,820.88x = 24,326,984.02
  5. Step 5: Solve for x
    x = 24,326,984.02/6,820.88
  6. Step 6: Final answer
    x = 3,566.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.